Question

3. Combine the two state equations into a matrix differential equation of the following form considering that the input signal is given by u(t) = Vin(t) and the output signal is given by, y(t) = Vc (t). Complete the entries in the matrices, in terms of the components R, L, and C: [α11 a12] [₂0]=[9₂1 922] [x₂]+[B₂] u(t) [x₂ (t). lazı (t). y(t) = [C11 C12] [₁2] [x₁ (t) [x₂ (t) + [d₁₁] u(t) 2

Fig: 1